Temperature Conversion Worksheet 3 featuring conversion exercises between Fahrenheit and Celsius, suitable for math practice.

To solve the temperature conversion problems, we will use the following formulas:

1. Conversion from Fahrenheit to Celsius:
\[
C = \frac{5}{9} (F - 32)
\]

2. Conversion from Celsius to Fahrenheit:
\[
F = \frac{9}{5} C + 32
\]

Let's solve each problem step by step.

---

Part 1: Convert to Celsius

#### Formula: \( C = \frac{5}{9} (F - 32) \)

1. 140°F:
\[
C = \frac{5}{9} (140 - 32) = \frac{5}{9} \times 108 = 60.0^\circ C
\]

2. 66°F:
\[
C = \frac{5}{9} (66 - 32) = \frac{5}{9} \times 34 = 18.9^\circ C
\]

3. 45°F:
\[
C = \frac{5}{9} (45 - 32) = \frac{5}{9} \times 13 = 7.2^\circ C
\]

4. 263°F:
\[
C = \frac{5}{9} (263 - 32) = \frac{5}{9} \times 231 = 128.3^\circ C
\]

5. 20°F:
\[
C = \frac{5}{9} (20 - 32) = \frac{5}{9} \times (-12) = -6.7^\circ C
\]

6. 58°F:
\[
C = \frac{5}{9} (58 - 32) = \frac{5}{9} \times 26 = 14.4^\circ C
\]

7. 350°F:
\[
C = \frac{5}{9} (350 - 32) = \frac{5}{9} \times 318 = 165.6^\circ C
\]

8. 10°F:
\[
C = \frac{5}{9} (10 - 32) = \frac{5}{9} \times (-22) = -12.2^\circ C
\]

9. 0°F:
\[
C = \frac{5}{9} (0 - 32) = \frac{5}{9} \times (-32) = -17.8^\circ C
\]

10. 420°F:
\[
C = \frac{5}{9} (420 - 32) = \frac{5}{9} \times 388 = 215.6^\circ C
\]

---

Part 2: Convert to Fahrenheit

#### Formula: \( F = \frac{9}{5} C + 32 \)

11. 35°C:
\[
F = \frac{9}{5} \times 35 + 32 = 63 + 32 = 95.0^\circ F
\]

12. 2°C:
\[
F = \frac{9}{5} \times 2 + 32 = 3.6 + 32 = 35.6^\circ F
\]

13. -8°C:
\[
F = \frac{9}{5} \times (-8) + 32 = -14.4 + 32 = 17.6^\circ F
\]

14. 72°C:
\[
F = \frac{9}{5} \times 72 + 32 = 129.6 + 32 = 161.6^\circ F
\]

15. 160°C:
\[
F = \frac{9}{5} \times 160 + 32 = 288 + 32 = 320.0^\circ F
\]

16. -18°C:
\[
F = \frac{9}{5} \times (-18) + 32 = -32.4 + 32 = -0.4^\circ F
\]

17. 57°C:
\[
F = \frac{9}{5} \times 57 + 32 = 102.6 + 32 = 134.6^\circ F
\]

18. 210°C:
\[
F = \frac{9}{5} \times 210 + 32 = 378 + 32 = 410.0^\circ F
\]

19. 17°C:
\[
F = \frac{9}{5} \times 17 + 32 = 30.6 + 32 = 62.6^\circ F
\]

20. -5°C:
\[
F = \frac{9}{5} \times (-5) + 32 = -9 + 32 = 23.0^\circ F
\]

---

Part 3: Mixed Conversions

#### From Celsius to Fahrenheit
21. -1°C:
\[
F = \frac{9}{5} \times (-1) + 32 = -1.8 + 32 = 30.2^\circ F
\]

22. 42°F:
\[
C = \frac{5}{9} (42 - 32) = \frac{5}{9} \times 10 = 5.6^\circ C
\]

23. 33°C:
\[
F = \frac{9}{5} \times 33 + 32 = 59.4 + 32 = 91.4^\circ F
\]

24. 95°C:
\[
F = \frac{9}{5} \times 95 + 32 = 171 + 32 = 203.0^\circ F
\]

25. 340°F:
\[
C = \frac{5}{9} (340 - 32) = \frac{5}{9} \times 308 = 171.1^\circ C
\]

#### From Fahrenheit to Celsius
26. 25°F:
\[
C = \frac{5}{9} (25 - 32) = \frac{5}{9} \times (-7) = -3.9^\circ C
\]

27. -10°C:
\[
F = \frac{9}{5} \times (-10) + 32 = -18 + 32 = 14.0^\circ F
\]

28. 12°F:
\[
C = \frac{5}{9} (12 - 32) = \frac{5}{9} \times (-20) = -11.1^\circ C
\]

29. 190°C:
\[
F = \frac{9}{5} \times 190 + 32 = 342 + 32 = 374.0^\circ F
\]

30. 95°F:
\[
C = \frac{5}{9} (95 - 32) = \frac{5}{9} \times 63 = 35.0^\circ C
\]

---

Final Answers

\[
\boxed{
\begin{array}{ll}
1. & 60.0^\circ C \\
2. & 18.9^\circ C \\
3. & 7.2^\circ C \\
4. & 128.3^\circ C \\
5. & -6.7^\circ C \\
6. & 14.4^\circ C \\
7. & 165.6^\circ C \\
8. & -12.2^\circ C \\
9. & -17.8^\circ C \\
10. & 215.6^\circ C \\
11. & 95.0^\circ F \\
12. & 35.6^\circ F \\
13. & 17.6^\circ F \\
14. & 161.6^\circ F \\
15. & 320.0^\circ F \\
16. & -0.4^\circ F \\
17. & 134.6^\circ F \\
18. & 410.0^\circ F \\
19. & 62.6^\circ F \\
20. & 23.0^\circ F \\
21. & 30.2^\circ F \\
22. & 5.6^\circ C \\
23. & 91.4^\circ F \\
24. & 203.0^\circ F \\
25. & 171.1^\circ C \\
26. & -3.9^\circ C \\
27. & 14.0^\circ F \\
28. & -11.1^\circ C \\
29. & 374.0^\circ F \\
30. & 35.0^\circ C \\
\end{array}
}
\]